{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,18]],"date-time":"2026-03-18T03:26:01Z","timestamp":1773804361528,"version":"3.50.1"},"reference-count":32,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"3","funder":[{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["DMS-2000037"],"award-info":[{"award-number":["DMS-2000037"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100012025","name":"New York University Abu Dhabi","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100012025","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000893","name":"Simons Foundation","doi-asserted-by":"publisher","award":["355645"],"award-info":[{"award-number":["355645"]}],"id":[{"id":"10.13039\/100000893","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Matrix Anal. Appl."],"published-print":{"date-parts":[[2022,9]]},"DOI":"10.1137\/22m1475934","type":"journal-article","created":{"date-parts":[[2022,8,18]],"date-time":"2022-08-18T14:07:03Z","timestamp":1660831623000},"page":"1423-1439","source":"Crossref","is-referenced-by-count":7,"title":["Factorization of Singular Matrix Polynomials and Matrices with Circular Higher Rank Numerical Ranges"],"prefix":"10.1137","volume":"43","author":[{"given":"Edward","family":"Poon","sequence":"first","affiliation":[]},{"given":"Ilya M.","family":"Spitkovsky","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8538-7173","authenticated-orcid":true,"given":"Hugo J.","family":"Woerdeman","sequence":"additional","affiliation":[]}],"member":"351","published-online":{"date-parts":[[2022,8,18]]},"reference":[{"key":"atypb1","volume-title":"Matrix Completions, Moments, and Sums of Hermitian Squares","author":"Bakonyi M.","year":"2011"},{"key":"atypb2","doi-asserted-by":"publisher","DOI":"10.1137\/0610001"},{"key":"atypb3","doi-asserted-by":"publisher","DOI":"10.1080\/03081087.2013.823424"},{"key":"atypb4","doi-asserted-by":"publisher","DOI":"10.1016\/0024-3795(94)90110-4"},{"key":"atypb5","doi-asserted-by":"publisher","DOI":"10.1080\/03081080701336545"},{"key":"atypb6","doi-asserted-by":"publisher","DOI":"10.1016\/j.laa.2006.03.019"},{"key":"atypb7","doi-asserted-by":"publisher","DOI":"10.1137\/S0363012903434741"},{"key":"atypb8","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611970104"},{"key":"atypb9","doi-asserted-by":"publisher","DOI":"10.1109\/CDC45484.2021.9683123"},{"key":"atypb10","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0007371"},{"key":"atypb11","doi-asserted-by":"publisher","DOI":"10.1007\/s00020-010-1747-1"},{"key":"atypb12","doi-asserted-by":"publisher","DOI":"10.1016\/S0024-3795(02)00548-7"},{"key":"atypb13","doi-asserted-by":"publisher","DOI":"10.1017\/9781108782296"},{"key":"atypb14","doi-asserted-by":"publisher","DOI":"10.4007\/annals.2004.160.839"},{"key":"atypb15","first-page":"1","volume-title":"Birkh\u00e4user","author":"Gohberg I.","year":"2003"},{"key":"atypb16","first-page":"181","volume-title":"Operator Theory, Structured Matrices, and Dilations, Theta Ser. Adv. Math. 7","author":"Hachez Y.","year":"2007"},{"key":"atypb17","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-0348-8323-8_16"},{"key":"atypb18","first-page":"471","volume":"12","author":"Kawamoto A.","year":"1999","journal-title":"Trans. Inst. Systems Control Inform. Engrs."},{"key":"atypb19","doi-asserted-by":"publisher","DOI":"10.1109\/9.272326"},{"key":"atypb20","doi-asserted-by":"crossref","DOI":"10.1093\/oso\/9780198537953.001.0001","volume-title":"Algebraic Riccati Equations","author":"Lancaster P.","year":"1995"},{"key":"atypb21","doi-asserted-by":"publisher","DOI":"10.1137\/18M1236289"},{"key":"atypb22","first-page":"269","volume":"216","author":"Matache V.","year":"2010","journal-title":"Appl. Math. Comput."},{"key":"atypb23","doi-asserted-by":"publisher","DOI":"10.1137\/S0895479800371177"},{"key":"atypb24","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-08-09536-1"},{"key":"atypb25","first-page":"19","volume":"111","author":"Li C.-K.","year":"1991","journal-title":"Proc. Amer. Math. Soc."},{"key":"atypb26","doi-asserted-by":"publisher","DOI":"10.1137\/S0895479899357619"},{"key":"atypb27","doi-asserted-by":"publisher","DOI":"10.1016\/j.laa.2021.08.025"},{"key":"atypb28","doi-asserted-by":"publisher","DOI":"10.2140\/pjm.1975.61.507"},{"key":"atypb29","doi-asserted-by":"publisher","DOI":"10.1016\/j.sysconle.2004.03.001"},{"key":"atypb30","doi-asserted-by":"publisher","DOI":"10.1016\/j.sysconle.2008.07.002"},{"key":"atypb31","doi-asserted-by":"publisher","DOI":"10.1080\/03081080701352211"},{"key":"atypb32","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2006.02.011"}],"container-title":["SIAM Journal on Matrix Analysis and Applications"],"original-title":[],"language":"en","deposited":{"date-parts":[[2023,11,25]],"date-time":"2023-11-25T22:40:50Z","timestamp":1700952050000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/22M1475934"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,8,18]]},"references-count":32,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2022,9]]}},"alternative-id":["10.1137\/22M1475934"],"URL":"https:\/\/doi.org\/10.1137\/22m1475934","relation":{},"ISSN":["0895-4798","1095-7162"],"issn-type":[{"value":"0895-4798","type":"print"},{"value":"1095-7162","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,8,18]]}}}